Alright.. sooooo first of all, you REALLY REALLY need to learn how to perfect wavedash. In my opinion that is one of the most crucial things to learn and know in order to have a really good mewtwo. Too many times you were wavedashing like 3 times all in a row in order to get to a shiek more than halfway across the stage. This isn't going to work... Either the shiek will stop you short with needles, or any decent player would see your approach coming from a mile away and counter it accordingly. A perfect wavedash will enable you to cover a much greater distance much more quickly, which therefore enables you to catch your enemy off guard. Learn it, use it. It's not the quantity of wavedashes that matter, it's the quality
Next, you used the fair as an approach waaaaay to much. Typically you're going find yourself either missing the attack, getting a smash to the face, or both. If it had more range, then that would be a difference story, but it doesn't so there's like no point in using it as one of your main approaches. I will say, however, throwing in SHUFFLED fair (which you weren't doing), as an approach EVERY ONCE IN A WHILE, can be a very good way to catch your enemy off guard. So if you're gonna approach with an fair when the player is far away, AT LEAST shuffle it.
Another thing about your fairs was that you would end a potential combo against sheik waaay to early. You would get a dtilt in (good), and then you would half the time follow up with a fair right after, even at low percent. This doesn't really help you at all since you pretty much end your combo right there. The better thing to do would be to dtilt 1 or 2 more times, then grab them and down throw them followed by dtilt or tech chase.
Speaking of tech-chasing and down throw combos, especially against shiek, you need to work on it. When you dthrow shiek, she pretty much has 2 options. A) She can DI away from you and almost ALWAYS will tech away from you, or B) She will DI toward you or not at all. In the case that she DI's away from you, that is where you need to immediate PERFECT WAVEDASH after her, and catch her in time with either another dtilt or grab. If you try just using a normal wavedash, you won't reach her in time. In the case that she DI's toward or not at all, then you need to dtilt again, which will pop her up nicely so that you can grab her again and repeat (assuming she's not too high of percentage).
That's all I could think about when watching your matches. You have potential, but you still need a lot of work.